A non-uniform beam of length 4.41m and weight 1.02kg makes an angle of 25.2 with the horizontal. It is held in position by a frictionless pivot at its upper-right end and by a cable a distance of 3.01m farther down the beam and perpendicular to it. The center of gravity of the beam is a distance of 2.06m down the beam from the pivot. Lighting equipment exerts a downward force of 5.10kN on the lower-left end of the beam.
A) Find the tension T in the cable.
B) Find the vertical component of the force exerted on the beam by the pivot.
C) Find the magnitude of the horizontal component of the force exerted on the beam by the pivot.